AIEEA UG Sample Paper 2023 PCM
Download the AIEEA UG Sample Paper 2023 PCM PDF for free at AglaSem. Designed as per the latest ICAR AIEEA UG exam pattern and marking scheme, this sample paper lets you practise likely questions, manage time and self-assess before the exam.
Latest News
Finished viewing? Save it for later —
Download AIEEA UG Sample Paper 2023 PCM (PDF · 68 pages)Downloaded 15 times
About AIEEA UG Sample Paper 2023 PCM
AIEEA UG Sample Paper 2023 PCM is available here for free download. Published by ICAR for AIEEA UG, this sample paper can be viewed online or downloaded as a PDF (68 pages). Candidates preparing for AIEEA UG can use AIEEA UG Sample Paper 2023 PCM to understand the exam pattern, the type of questions asked, and the overall difficulty level.
Frequently Asked Questions
How can I download AIEEA UG Sample Paper 2023 PCM?
Open this page and click the Download button to save AIEEA UG Sample Paper 2023 PCM as a PDF. It is completely free on AglaSem Docs.
Is AIEEA UG Sample Paper 2023 PCM free to download?
Yes. AIEEA UG Sample Paper 2023 PCM can be viewed online and downloaded as a PDF free of cost on AglaSem Docs.
How many pages does AIEEA UG Sample Paper 2023 PCM have?
AIEEA UG Sample Paper 2023 PCM contains 68 pages, which you can read online or download together as a single PDF.
Where can I find more AIEEA UG study material?
You can find more AIEEA UG question papers, sample papers, syllabus, and answer keys on AglaSem Docs.
AIEEA UG Sample Paper 2023 PCM – Text
Read the full text of this sample paper below — useful to quickly search, copy and reference the content online without downloading the PDF.
📄 View text version (68 pages)
Page 1
Sample Paper
UG PCM (sections: Physics, Chemistry, Maths)
Q.No. 1
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: The preservation of meat by salting and fruits by adding sugar is done to protect them from bacteria action.
Reason R: Due to the reverse osmosis.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 2
A force
→
F = 7^
j + 3^
^
j − 5k
acts on a particle with position vector
^
i =^
i −^
j
. The torque acting on the particle is
(A)
^
ı + 5^
5^ j + 10k
(B)
5^
ı − 5^ ^
ȷ + 10k
(C)
ı − 5^
5^ ^
j − 10k
(D)
UG PCM (sections: Physics, Chemistry, Maths)
Q.No. 1
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: The preservation of meat by salting and fruits by adding sugar is done to protect them from bacteria action.
Reason R: Due to the reverse osmosis.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 2
A force
→
F = 7^
j + 3^
^
j − 5k
acts on a particle with position vector
^
i =^
i −^
j
. The torque acting on the particle is
(A)
^
ı + 5^
5^ j + 10k
(B)
5^
ı − 5^ ^
ȷ + 10k
(C)
ı − 5^
5^ ^
j − 10k
(D)
Page 2
5^
i + 5^ ^
j − 10k
Q.No. 3
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-II, B-IV, C-III, D-I
(B)
A-IV, B-II, C-III,D-I
(C)
A-IV, B-II, C-I, D-III
(D)
A-II, B-IV, C-I, D-III
Q.No. 4
Benzoic acid and phenol can be distinguished in laboratory on the basis of:
A: Sodium bicarbonate test
B: Bromine water test
C: Tollens's test
i + 5^ ^
j − 10k
Q.No. 3
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-II, B-IV, C-III, D-I
(B)
A-IV, B-II, C-III,D-I
(C)
A-IV, B-II, C-I, D-III
(D)
A-II, B-IV, C-I, D-III
Q.No. 4
Benzoic acid and phenol can be distinguished in laboratory on the basis of:
A: Sodium bicarbonate test
B: Bromine water test
C: Tollens's test
Page 3
D: Lucas test
Choose the correct answer from the options given below:
(A)
A only
(B)
A and B only
(C)
A and C only
(D)
B and C only
Q.No. 5
1 1 1
If a, b, c are positive and a + b + c = 1, then the minimum value of ( − 1) ( − 1) ( − 1) is
a b c
(A)
2
(B)
4
(C)
8
(D)
16
Q.No. 6
Considering the pKa of acetic acid and pkb of ammonium hydroxide are 4.5 and 4.4 respectively. The pH of ammonium
acetate is:
(A)
7.005
(B)
8.9
(C)
4.45
(D)
7.5
Q.No. 7
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Choose the correct answer from the options given below:
(A)
A only
(B)
A and B only
(C)
A and C only
(D)
B and C only
Q.No. 5
1 1 1
If a, b, c are positive and a + b + c = 1, then the minimum value of ( − 1) ( − 1) ( − 1) is
a b c
(A)
2
(B)
4
(C)
8
(D)
16
Q.No. 6
Considering the pKa of acetic acid and pkb of ammonium hydroxide are 4.5 and 4.4 respectively. The pH of ammonium
acetate is:
(A)
7.005
(B)
8.9
(C)
4.45
(D)
7.5
Q.No. 7
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Page 4
Assertion A: Ions of the same charge in a 3d series show progressive decreases in radius with increasing
atomic number.
Reason R: As the new electron enters in a d-orbital, the nuclear charge increases by unity.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 8
A non-volatile solute (Molar Mass 58g/mol) of 0.9 g was dissolved in 90 g of benzene ( boiling point of benzene=
353.25K) . The boiling point of solution is: [Given Kb for benzene is =2.53k kg mol-1]
(A)
351.79 K
(B)
353.67 K
(C)
353. 97 K
(D)
354.17 K
Q.No. 9
Given below are two statements:
Statement I: Generally, only non-metal oxides is acidic and oxides of some metals in high oxidation state also found to
have acidic character.
Statement II: Oxides like CO, No and N2O are neutral oxides.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
atomic number.
Reason R: As the new electron enters in a d-orbital, the nuclear charge increases by unity.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 8
A non-volatile solute (Molar Mass 58g/mol) of 0.9 g was dissolved in 90 g of benzene ( boiling point of benzene=
353.25K) . The boiling point of solution is: [Given Kb for benzene is =2.53k kg mol-1]
(A)
351.79 K
(B)
353.67 K
(C)
353. 97 K
(D)
354.17 K
Q.No. 9
Given below are two statements:
Statement I: Generally, only non-metal oxides is acidic and oxides of some metals in high oxidation state also found to
have acidic character.
Statement II: Oxides like CO, No and N2O are neutral oxides.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
Page 5
(D)
Statement I is false but Statement II is true
Q.No. 10
Which of the following oxide is used to estimate CO?
(A)
Br2O
(B)
BrO3
(C)
I2 O 4
(D)
I2 O 5
Q.No. 11
Which of the following compounds was significantly used to control the malaria in World War II?
(A)
Chloroquine
(B)
DDT
(C)
Sodium Chlorate
(D)
Sodium arsinite
Q.No. 12
A body falling vertically downwards due to gravity, break into two equal parts of unequal masses. The centre of mass of
the two masses taken together will-
(A)
shift towards heavier mass
(B)
shift towards lighter mass
(C)
does not shift horizontally
(D)
depends on vertical velocity at the time of breaking
Q.No. 13
Statement I is false but Statement II is true
Q.No. 10
Which of the following oxide is used to estimate CO?
(A)
Br2O
(B)
BrO3
(C)
I2 O 4
(D)
I2 O 5
Q.No. 11
Which of the following compounds was significantly used to control the malaria in World War II?
(A)
Chloroquine
(B)
DDT
(C)
Sodium Chlorate
(D)
Sodium arsinite
Q.No. 12
A body falling vertically downwards due to gravity, break into two equal parts of unequal masses. The centre of mass of
the two masses taken together will-
(A)
shift towards heavier mass
(B)
shift towards lighter mass
(C)
does not shift horizontally
(D)
depends on vertical velocity at the time of breaking
Q.No. 13
Page 6
If
2n 3n−3 n−1
n ∈ N , then 7 + 2 ⋅ 3
is always divisible by
(A)
15
(B)
25
(C)
35
(D)
45
Q.No. 14
Match List I with List II :
Choose the correct answer from the options given below:
(A)
A-II, B-I, C-IV, D-III
(B)
A-II, B-IV, C-I, D-III
(C)
2n 3n−3 n−1
n ∈ N , then 7 + 2 ⋅ 3
is always divisible by
(A)
15
(B)
25
(C)
35
(D)
45
Q.No. 14
Match List I with List II :
Choose the correct answer from the options given below:
(A)
A-II, B-I, C-IV, D-III
(B)
A-II, B-IV, C-I, D-III
(C)
Page 7
A-III, B-II, C-IV, D-I
(D)
A-I, B-II, C-IV, D-III
Q.No. 15
Let A and B be any two sets, which of the following are correct?
A.
(A − B) ∩ B = ∅
B.
(A − B) ∪ B = ∅
C.
′
(A − B) ∩ A = A ∩ B
D.
(A − B) ∪ B = A ∪ B
Choose the correct answer from the options given below :
(A)
A and D only
(B)
A, C and D only
(C)
B and D only
(D)
B,C and D only
Q.No. 16
The area in the first quadrant between x2+y2=π2 and y=sin x is
(A)
3
π − 8
4
sq.units
(B)
3
π
4
sq.units
(C)
3
π − 16
4
sq.units
(D)
A-I, B-II, C-IV, D-III
Q.No. 15
Let A and B be any two sets, which of the following are correct?
A.
(A − B) ∩ B = ∅
B.
(A − B) ∪ B = ∅
C.
′
(A − B) ∩ A = A ∩ B
D.
(A − B) ∪ B = A ∪ B
Choose the correct answer from the options given below :
(A)
A and D only
(B)
A, C and D only
(C)
B and D only
(D)
B,C and D only
Q.No. 16
The area in the first quadrant between x2+y2=π2 and y=sin x is
(A)
3
π − 8
4
sq.units
(B)
3
π
4
sq.units
(C)
3
π − 16
4
sq.units
Page 8
(D)
3
π − 8
2
sq.units
Q.No. 17
The ration in which the line segment joining the points A(4, 8, 10) and B(6, 10, -8) is divided by the yz-plane is given by
(A)
2:3 internally
(B)
2:3 externally
(C)
1:2 internally
(D)
1:2 externally
Q.No. 18
The correct structure of the dipeptide glycylvaline is:
(A)
(B)
(C)
3
π − 8
2
sq.units
Q.No. 17
The ration in which the line segment joining the points A(4, 8, 10) and B(6, 10, -8) is divided by the yz-plane is given by
(A)
2:3 internally
(B)
2:3 externally
(C)
1:2 internally
(D)
1:2 externally
Q.No. 18
The correct structure of the dipeptide glycylvaline is:
(A)
(B)
(C)
Page 9
(D)
Q.No. 19
1.nC1+2.nC2+3.nC3+...........+n.nCn is equal to
(A)
n(n + 1)
n
⋅ 2
4
(B)
2n−1
2 − 1
(C)
n−1
11.2
(D)
n
2 − 1
Q.No. 20
If the earth stop rotating, the apparent value of acceleration due to gravity 'g' on it surface will
(A)
Increase everywhere
Q.No. 19
1.nC1+2.nC2+3.nC3+...........+n.nCn is equal to
(A)
n(n + 1)
n
⋅ 2
4
(B)
2n−1
2 − 1
(C)
n−1
11.2
(D)
n
2 − 1
Q.No. 20
If the earth stop rotating, the apparent value of acceleration due to gravity 'g' on it surface will
(A)
Increase everywhere
Page 10
(B)
Decrease everywhere
(C)
Remain same everywhere
(D)
Increase at some places and remain the same at other places
Q.No. 21
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: Among halogens, chlorine has highest negative electron gain enthalpy value.
Reason R: The ionic radius of Cl- is 184pm.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 22
Given below are two statements:
Statement I: On dissolution of large number of atoms or small molecules of a substance aggregate together
to form species having size in the colloidal range (diameter>1nm)
Statement II: The word lyophobic means liquid hating.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Decrease everywhere
(C)
Remain same everywhere
(D)
Increase at some places and remain the same at other places
Q.No. 21
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: Among halogens, chlorine has highest negative electron gain enthalpy value.
Reason R: The ionic radius of Cl- is 184pm.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 22
Given below are two statements:
Statement I: On dissolution of large number of atoms or small molecules of a substance aggregate together
to form species having size in the colloidal range (diameter>1nm)
Statement II: The word lyophobic means liquid hating.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Page 11
Q.No. 23
Let
p: 57 is an odd prime number.
q: 5 is a divisor of 20 ,
r: 20 is the LCM of 4 and 5 ,
be three simple logical statements.
Which one of the following is true?
(A)
p ∨ (∼ q ∧ r)
(B)
∽ p ∨ (q ∧ r)
(C)
(p ∧ q)∨ ∽ r
(D)
(p ∨ q)∧ ∽ r
Q.No. 24
The sum of all the solutions of the equation
π π 1
cos x ⋅ cos ( + x) ⋅ cos ( − x) = ; x ∈ [0, 3π]
3 3 4
is
(A)
20π
3
(B)
4π
(C)
10π
(D)
Let
p: 57 is an odd prime number.
q: 5 is a divisor of 20 ,
r: 20 is the LCM of 4 and 5 ,
be three simple logical statements.
Which one of the following is true?
(A)
p ∨ (∼ q ∧ r)
(B)
∽ p ∨ (q ∧ r)
(C)
(p ∧ q)∨ ∽ r
(D)
(p ∨ q)∧ ∽ r
Q.No. 24
The sum of all the solutions of the equation
π π 1
cos x ⋅ cos ( + x) ⋅ cos ( − x) = ; x ∈ [0, 3π]
3 3 4
is
(A)
20π
3
(B)
4π
(C)
10π
(D)
Page 12
19π
3
Q.No. 25
The current supplied by the battery in the circuit shown in the figure is, (neglect internal resistance of the battery)
(A)
1.0 A
(B)
3/16 A
(C)
3/12 A
(D)
3/6 A
Q.No. 26
The angle of projection which gives a range of 8 km when projected with the velocity of 400m/s is (use g=10m/s2)
(A)
π
12
(B)
π
6
(C)
π
4
(D)
3
Q.No. 25
The current supplied by the battery in the circuit shown in the figure is, (neglect internal resistance of the battery)
(A)
1.0 A
(B)
3/16 A
(C)
3/12 A
(D)
3/6 A
Q.No. 26
The angle of projection which gives a range of 8 km when projected with the velocity of 400m/s is (use g=10m/s2)
(A)
π
12
(B)
π
6
(C)
π
4
(D)
Page 13
2π
3
Q.No. 27
The reaction given below is an example of:
(A)
Nucleophilic substitution reaction
(B)
Elimination reaction
(C)
Electrophilic substitution reaction
(D)
Free radical substitution reaction
Q.No. 28
Thermal decomposition of Cl2O7 at 400 K in the gaseous phase to Cl2 and O2 is the first order reaction with rate constant
6.932 * 10-3 s-1. How much minutes are required for 90% decomposition of Cl2O7 at 400K?
(A)
5.54
(B)
16.61
(C)
33.32
(D)
332.2
Q.No. 29
If the value 1,1/2,1/3,.....1/n occur at frequencies 1,2,3,.....,n in a distribution, then the mean is given by
(A)
1
(B)
n
3
Q.No. 27
The reaction given below is an example of:
(A)
Nucleophilic substitution reaction
(B)
Elimination reaction
(C)
Electrophilic substitution reaction
(D)
Free radical substitution reaction
Q.No. 28
Thermal decomposition of Cl2O7 at 400 K in the gaseous phase to Cl2 and O2 is the first order reaction with rate constant
6.932 * 10-3 s-1. How much minutes are required for 90% decomposition of Cl2O7 at 400K?
(A)
5.54
(B)
16.61
(C)
33.32
(D)
332.2
Q.No. 29
If the value 1,1/2,1/3,.....1/n occur at frequencies 1,2,3,.....,n in a distribution, then the mean is given by
(A)
1
(B)
n
Page 14
(C)
1/n
(D)
2/n+1
Q.No. 30
The greatest term in the expansion of (x+y)18 and x=2, y=1 is
(A)
18C .213
5
(B)
18C .212
6
(C)
18C .211
7
(D)
18C .210
8
Q.No. 31
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: If Sn denotes the sum of n terms of a G.P. whose first term and common ratio are
n
na ar (1 − r )
a and r respectively, then s 1 + s 2 + s 3 + ⋯ + s n = −
2
1 − r (1 − r)
2n
na ar (1 − r )
s 1 + s 3 + s 5 + ⋯ + s 2n−1 = −
2
1 − r (1 − r) ⋅ (1 + r)
Reason R: In light of the above statements,
choose the most appropriate answer from the options given below :
(A)
Both A and R are correct and R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 32
The normal to the curve 5x5 - 10x3+x+2y+6=0 at A(0,-3) meets the curve again at two points B and C. The length of BC
is
1/n
(D)
2/n+1
Q.No. 30
The greatest term in the expansion of (x+y)18 and x=2, y=1 is
(A)
18C .213
5
(B)
18C .212
6
(C)
18C .211
7
(D)
18C .210
8
Q.No. 31
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: If Sn denotes the sum of n terms of a G.P. whose first term and common ratio are
n
na ar (1 − r )
a and r respectively, then s 1 + s 2 + s 3 + ⋯ + s n = −
2
1 − r (1 − r)
2n
na ar (1 − r )
s 1 + s 3 + s 5 + ⋯ + s 2n−1 = −
2
1 − r (1 − r) ⋅ (1 + r)
Reason R: In light of the above statements,
choose the most appropriate answer from the options given below :
(A)
Both A and R are correct and R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 32
The normal to the curve 5x5 - 10x3+x+2y+6=0 at A(0,-3) meets the curve again at two points B and C. The length of BC
is
Page 15
(A)
(B)
(C)
(D)
Q.No. 33
If
, then the value of A is given by
(A)
2
(B)
1/2
(C)
1/√2
(D)
1/4
Q.No. 34
∫
dx
x − x
3
The maximum value of z=3x+4y subject to the constraints
is given by
(A)
140
(B)
170
(C)
√5
2√ 5
3√ 5
√5
2
= A ⋅ ln
∣x
1 − x
2
x + y ≤ 40, x + 2y ≤ 6, x ≥ 0, y ≥ 0
2
+ C
(B)
(C)
(D)
Q.No. 33
If
, then the value of A is given by
(A)
2
(B)
1/2
(C)
1/√2
(D)
1/4
Q.No. 34
∫
dx
x − x
3
The maximum value of z=3x+4y subject to the constraints
is given by
(A)
140
(B)
170
(C)
√5
2√ 5
3√ 5
√5
2
= A ⋅ ln
∣x
1 − x
2
x + y ≤ 40, x + 2y ≤ 6, x ≥ 0, y ≥ 0
2
+ C
Page 16
120
(D)
180
Q.No. 35
′ ′
Let n(U ) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, then n (A ∩ B ) is
(A)
400
(B)
600
(C)
300
(D)
200
Q.No. 36
Consider the following structures:
Choose the correct answer with the given structure(s) which are resonating structures of phenol.
(A)
II and III only
(B)
I, II and III only
(C)
I, II and IV only
(D)
II and IV only
Q.No. 37
Which of the following compounds is most reactive towards sodium metal?
(A)
1-Propyne
(B)
(D)
180
Q.No. 35
′ ′
Let n(U ) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, then n (A ∩ B ) is
(A)
400
(B)
600
(C)
300
(D)
200
Q.No. 36
Consider the following structures:
Choose the correct answer with the given structure(s) which are resonating structures of phenol.
(A)
II and III only
(B)
I, II and III only
(C)
I, II and IV only
(D)
II and IV only
Q.No. 37
Which of the following compounds is most reactive towards sodium metal?
(A)
1-Propyne
(B)
Page 17
Methane
(C)
Ethyne
(D)
1-Butyne
Q.No. 38
If the imaginary part of (1*i)n.(1-i)n is negative, where n ∈ N, n<100; the the sum of all the possible value of n is
(A)
625
(B)
1025
(C)
1225
(D)
1238
Q.No. 39
Reaction of quick lime slaked with soda gives compound 'X'. 'X' is................
(A)
NaOH+CaO
(B)
NaOH+Ca(OH)2
(C)
Na2O+CaO
(D)
Na2O+Ca(OH)2
Q.No. 40
A normal at any point (x, y) to the curve y=f(x) cuts triangle of unit area with the axes. The equation of the curve is
(A)
2
2 2
dy dy
y − x ( ) = 4
dx dx
(B)
2
2
dy 2
dy dy
x + 2xy + y ( ) = 2
dx dx dx
(C)
Ethyne
(D)
1-Butyne
Q.No. 38
If the imaginary part of (1*i)n.(1-i)n is negative, where n ∈ N, n<100; the the sum of all the possible value of n is
(A)
625
(B)
1025
(C)
1225
(D)
1238
Q.No. 39
Reaction of quick lime slaked with soda gives compound 'X'. 'X' is................
(A)
NaOH+CaO
(B)
NaOH+Ca(OH)2
(C)
Na2O+CaO
(D)
Na2O+Ca(OH)2
Q.No. 40
A normal at any point (x, y) to the curve y=f(x) cuts triangle of unit area with the axes. The equation of the curve is
(A)
2
2 2
dy dy
y − x ( ) = 4
dx dx
(B)
2
2
dy 2
dy dy
x + 2xy + y ( ) = 2
dx dx dx
Page 18
(C)
2
2 2
dy dy
x − y ( ) =
dx dx
(D)
dy
x + y = y
dx
Q.No. 41
Match List I with List II :
Choose the correct answer from the options given below:
(A)
A-I, B-III, C-IV, D-II
(B)
A-I, B-IV, C-III, D-II
(C)
A-II, B-III, C-I, D-IV
(D)
2
2 2
dy dy
x − y ( ) =
dx dx
(D)
dy
x + y = y
dx
Q.No. 41
Match List I with List II :
Choose the correct answer from the options given below:
(A)
A-I, B-III, C-IV, D-II
(B)
A-I, B-IV, C-III, D-II
(C)
A-II, B-III, C-I, D-IV
(D)
Page 19
A-IV, B-III, C-I, D-II
Q.No. 42
The total number of words (with or without meaning) that can be made with the letters of the words
"INTERMEDIATE", if the vowels and the consonants occur alternatively in the words is
(A)
43200
(B)
21600
(C)
151200
(D)
75600
Q.No. 43
The De Broglie wavelength associated with an electron accelerated through a potential difference of 64 volt
(A)
0.153 nm
(B)
1.53 nm
(C)
15.3 nm
(D)
153 nm
Q.No. 44
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. The mutual
inductance between them will be, (R2<<R1)
(A)
2
μ 0 πR
1
R2
(B)
2
μ 0 πR
2
R1
(C)
2
μ 0 πR
1
2R 2
Q.No. 42
The total number of words (with or without meaning) that can be made with the letters of the words
"INTERMEDIATE", if the vowels and the consonants occur alternatively in the words is
(A)
43200
(B)
21600
(C)
151200
(D)
75600
Q.No. 43
The De Broglie wavelength associated with an electron accelerated through a potential difference of 64 volt
(A)
0.153 nm
(B)
1.53 nm
(C)
15.3 nm
(D)
153 nm
Q.No. 44
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. The mutual
inductance between them will be, (R2<<R1)
(A)
2
μ 0 πR
1
R2
(B)
2
μ 0 πR
2
R1
(C)
2
μ 0 πR
1
2R 2
Page 20
(D)
2
μ 0 πR 2
2R 1
Q.No. 45
Which of the following parameters is same for molecules of all gases at a given temperature?
(A)
density
(B)
speed
(C)
momentum
(D)
kinetic energy
Q.No. 46
The equivalent resistance of the network shown in the figure below between the point a and b is:
(A)
2Ω
(B)
32 Ω
(C)
4Ω
2
μ 0 πR 2
2R 1
Q.No. 45
Which of the following parameters is same for molecules of all gases at a given temperature?
(A)
density
(B)
speed
(C)
momentum
(D)
kinetic energy
Q.No. 46
The equivalent resistance of the network shown in the figure below between the point a and b is:
(A)
2Ω
(B)
32 Ω
(C)
4Ω
Page 21
(D)
0
Q.No. 47
Formalin is particularly used to preserve biological specimens laboratory. It is a:
(A)
50% aqueous solution of formaldehyde
(B)
50% ethanolic solution of formaldehyde
(C)
60% aqueous solution of acetaldehyde
(D)
40% aqueous solution of methanal
Q.No. 48
The temperature at which the real gas obeys ideal gas law over an appreciable range of pressure is called
(A)
Absolute temperature
(B)
Boyle temperature
(C)
Critical temperature
(D)
Kelvin temperature
Q.No. 49
Four particles each having a charge q are placed on the four vertices of the regular pentagon as shown in figure. The
distance of each corner from the centre O is a. The electric field at the centre of the pentagon is
0
Q.No. 47
Formalin is particularly used to preserve biological specimens laboratory. It is a:
(A)
50% aqueous solution of formaldehyde
(B)
50% ethanolic solution of formaldehyde
(C)
60% aqueous solution of acetaldehyde
(D)
40% aqueous solution of methanal
Q.No. 48
The temperature at which the real gas obeys ideal gas law over an appreciable range of pressure is called
(A)
Absolute temperature
(B)
Boyle temperature
(C)
Critical temperature
(D)
Kelvin temperature
Q.No. 49
Four particles each having a charge q are placed on the four vertices of the regular pentagon as shown in figure. The
distance of each corner from the centre O is a. The electric field at the centre of the pentagon is
Page 22
(A)
Zero
(B)
2
4q/4π ∈ 0 a
along O E
(C)
2
q/4πE 0 a
along O E
(D)
2
q/4πE C α
along E O
Q.No. 50
Rainbow occurs due to the fact that when sunlight passes through the water drops in the atmosphere, it undergoes,
(A)
Dispersion
(B)
Scaltering
(C)
Polarization
(D)
Diffraction
Q.No. 51
When a transistor is used as amplifier, the circuit is designed in such a way that the transistor operate in:
Zero
(B)
2
4q/4π ∈ 0 a
along O E
(C)
2
q/4πE 0 a
along O E
(D)
2
q/4πE C α
along E O
Q.No. 50
Rainbow occurs due to the fact that when sunlight passes through the water drops in the atmosphere, it undergoes,
(A)
Dispersion
(B)
Scaltering
(C)
Polarization
(D)
Diffraction
Q.No. 51
When a transistor is used as amplifier, the circuit is designed in such a way that the transistor operate in:
Page 23
(A)
cut off and saturation region
(B)
cut-off and active region
(C)
saturation and active region
(D)
active region only
Q.No. 52
The resistance R=V/I, were V=(200±10)V and I=(10+1)A. The percentage error in R will be
(A)
15%
(B)
11%
(C)
10%
(D)
9%
Q.No. 53
In the circuit show below, the value of the current i will be
cut off and saturation region
(B)
cut-off and active region
(C)
saturation and active region
(D)
active region only
Q.No. 52
The resistance R=V/I, were V=(200±10)V and I=(10+1)A. The percentage error in R will be
(A)
15%
(B)
11%
(C)
10%
(D)
9%
Q.No. 53
In the circuit show below, the value of the current i will be
Page 24
(A)
0.2 A
(B)
2A
(C)
0.075 A
(D)
0.75A
Q.No. 54
A cell of 2V and internal resistance 0.5Ω connected across a resistance of 9.5 Ω. How many electron cross through a cross section of the
resistance in 1 second?
(A)
1.25 * 1019
(B)
1.25 * 1018
(C)
1.25 * 1017
(D)
1.25 * 1020
0.2 A
(B)
2A
(C)
0.075 A
(D)
0.75A
Q.No. 54
A cell of 2V and internal resistance 0.5Ω connected across a resistance of 9.5 Ω. How many electron cross through a cross section of the
resistance in 1 second?
(A)
1.25 * 1019
(B)
1.25 * 1018
(C)
1.25 * 1017
(D)
1.25 * 1020
Page 25
Q.No. 55
An alternating current having peak value of 14 A is used to heat a meter wire. To produce the same heating effect , if we
use constant current i, then it will be nearly-
(A)
14A
(B)
20 A
(C)
7A
(D)
10 A
Q.No. 56
The position of an object moves along x-axis is given by x=a+bt2 where a=11 m, b=3.5 m/s2 and t is in seconds. The
average velocity between t=3 s and t=5 s is
(A)
28m/s
(B)
14m/s
(C)
21m/s
(D)
7m/s
Q.No. 57
A bullet of mass m is fired with speed v0 on soft plywood of thickness t. The bullet emerges with only half of the initial
kinetic energy. What is the emergent speed of the bullet?
(A)
v0/8
(B)
v0/4
(C)
v0/2
(D)
v0/√2
Q.No. 58
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
An alternating current having peak value of 14 A is used to heat a meter wire. To produce the same heating effect , if we
use constant current i, then it will be nearly-
(A)
14A
(B)
20 A
(C)
7A
(D)
10 A
Q.No. 56
The position of an object moves along x-axis is given by x=a+bt2 where a=11 m, b=3.5 m/s2 and t is in seconds. The
average velocity between t=3 s and t=5 s is
(A)
28m/s
(B)
14m/s
(C)
21m/s
(D)
7m/s
Q.No. 57
A bullet of mass m is fired with speed v0 on soft plywood of thickness t. The bullet emerges with only half of the initial
kinetic energy. What is the emergent speed of the bullet?
(A)
v0/8
(B)
v0/4
(C)
v0/2
(D)
v0/√2
Q.No. 58
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Page 26
Assertion A: Nitration of chlorobenzene occurs at ortho and para positions.
Reason R: Chlorine is the ring deactivator.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 59
There are two boxes, Box A and Box B. Box A contains 3 red and 6 black balls. Box B contains 5 red and n black balls. One of the
two balls is selected at random and a ball is drawn at random. The ball drawn is found to be red. If the probability that this red ball comes out from Box
B is 1/3, then the value of n is
(A)
10
(B)
12
(C)
20
(D)
25
Q.No. 60
The value of 'a' so that f(x)=sin x - cos x- ax + b decreases for all real value of x is given by
(A)
a≥√2
(B)
a ≤ √2
(C)
a≥1
(D) a<1
Q.No. 61
In the Modern Periodic table, Scandium is placed in
(A)
Reason R: Chlorine is the ring deactivator.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 59
There are two boxes, Box A and Box B. Box A contains 3 red and 6 black balls. Box B contains 5 red and n black balls. One of the
two balls is selected at random and a ball is drawn at random. The ball drawn is found to be red. If the probability that this red ball comes out from Box
B is 1/3, then the value of n is
(A)
10
(B)
12
(C)
20
(D)
25
Q.No. 60
The value of 'a' so that f(x)=sin x - cos x- ax + b decreases for all real value of x is given by
(A)
a≥√2
(B)
a ≤ √2
(C)
a≥1
(D) a<1
Q.No. 61
In the Modern Periodic table, Scandium is placed in
(A)
Page 27
Group-IIIA, Period 4
(B)
Group-IIIA, Period 3
(C)
Group-IIIB, Period 4
(D)
Group-IIIB, Period 3
Q.No. 62
The dimensional formula for binding energy of a nucleus is
(A)
[ML2T2]
(B)
[ML2T-2]
(C)
[ML-2T-2]
(D)
[ML-2T2]
Q.No. 63
For any two sets of A, B and C, which of the following are true?
A.
(A ∩ B) ∪ (A − B) = A
B.
A ⋅ (B ∩ C) = (A − B) ∩ (A − C)
C.
(A ∪ B) − C = (A − C) ∪ (B − C)
D.
′
A ∩ (A ∪ B) = ∅
Choose the correct answer from the options given below:
(A)
A and D only
(B)
A, C and D only
(C)
A,B and D only
(B)
Group-IIIA, Period 3
(C)
Group-IIIB, Period 4
(D)
Group-IIIB, Period 3
Q.No. 62
The dimensional formula for binding energy of a nucleus is
(A)
[ML2T2]
(B)
[ML2T-2]
(C)
[ML-2T-2]
(D)
[ML-2T2]
Q.No. 63
For any two sets of A, B and C, which of the following are true?
A.
(A ∩ B) ∪ (A − B) = A
B.
A ⋅ (B ∩ C) = (A − B) ∩ (A − C)
C.
(A ∪ B) − C = (A − C) ∪ (B − C)
D.
′
A ∩ (A ∪ B) = ∅
Choose the correct answer from the options given below:
(A)
A and D only
(B)
A, C and D only
(C)
A,B and D only
Page 28
(D)
C and D only
Q.No. 64
Which of the following noble gases has highest positive electron gain enthalpy?
(A)
Ne
(B)
Ar
(C)
Kr
(D)
Xe
Q.No. 65
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The sum of the first n terms of the series 1/2 + 3/4 +7/8 + 15/16.......is2-n + n-1
Reason R: 1-2+3+..........+n
n(n + 1)
= ∑n =
2
In light of the above statements,
choose the most appropriate answer from the options given below
(A)
Both A and R are correct and R is the correct explanation of A
(B) Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 66
The maximum value of
π π
f (x) = sin (x + ) + cos (x + )
6 6
lies in the interval
π
[0, ]
2
if the value of x is
(A)
C and D only
Q.No. 64
Which of the following noble gases has highest positive electron gain enthalpy?
(A)
Ne
(B)
Ar
(C)
Kr
(D)
Xe
Q.No. 65
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The sum of the first n terms of the series 1/2 + 3/4 +7/8 + 15/16.......is2-n + n-1
Reason R: 1-2+3+..........+n
n(n + 1)
= ∑n =
2
In light of the above statements,
choose the most appropriate answer from the options given below
(A)
Both A and R are correct and R is the correct explanation of A
(B) Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 66
The maximum value of
π π
f (x) = sin (x + ) + cos (x + )
6 6
lies in the interval
π
[0, ]
2
if the value of x is
(A)
Page 29
π
6
(B)
π
12
π
3
(C)
π
3
(D)
π
4
Q.No. 67
Ninhydrin reacts with amino acid to form colored complex. The equivalent ratio of ninhydrin and amino acid used in the
reaction is respectively:
(A)
1:1
(B)
1:2
(C)
2:1
(D)
1:3
Q.No. 68
Which of the following are true statements?
A. The vector represented by the complex number 2-i is rotated about the crigin through an angle
π
2
in the clockwise direction. Then, the new position of the point is -1-2i.
B. If
1 + 7i
z =
2
(2 − i)
, then arg(z) is
3π
4
C. If
6
(B)
π
12
π
3
(C)
π
3
(D)
π
4
Q.No. 67
Ninhydrin reacts with amino acid to form colored complex. The equivalent ratio of ninhydrin and amino acid used in the
reaction is respectively:
(A)
1:1
(B)
1:2
(C)
2:1
(D)
1:3
Q.No. 68
Which of the following are true statements?
A. The vector represented by the complex number 2-i is rotated about the crigin through an angle
π
2
in the clockwise direction. Then, the new position of the point is -1-2i.
B. If
1 + 7i
z =
2
(2 − i)
, then arg(z) is
3π
4
C. If
Page 30
a = cos θ + i sin θ
, then
1 + a θ
= i tan
1 − a 2
D. There exists no value of x for which sin x+ icos 2x and cos x-isin 2x are conjugate to each other
Choose the correct answer from the options given below:
(A)
B and D only
(B)
A, B and D only
(C)
A and D only
(D)
B only
Q.No. 69
For the following molecules/intermediates/species:
A − BH 3 ; B − SiH 4 ; C − PCl 3 ; D− : CH 2 ; E − NH 3
Select the correct option for electrophile(s):
(A)
A. B, C and D only
(B)
A, B and C only
(C)
A only
(D)
A and D only
Q.No. 70
Which of the following statements is true for cathode ray discharge tube experiments?
(A)
The electric discharge through the gases could be observed only at very high pressure and high voltages.
(B)
The characteristics of Cathode rays depend upon the material of electrode.
(C)
The properties of Cathode rays do not depend upon the nature of gas present in the cathode ray tube.
(D)
, then
1 + a θ
= i tan
1 − a 2
D. There exists no value of x for which sin x+ icos 2x and cos x-isin 2x are conjugate to each other
Choose the correct answer from the options given below:
(A)
B and D only
(B)
A, B and D only
(C)
A and D only
(D)
B only
Q.No. 69
For the following molecules/intermediates/species:
A − BH 3 ; B − SiH 4 ; C − PCl 3 ; D− : CH 2 ; E − NH 3
Select the correct option for electrophile(s):
(A)
A. B, C and D only
(B)
A, B and C only
(C)
A only
(D)
A and D only
Q.No. 70
Which of the following statements is true for cathode ray discharge tube experiments?
(A)
The electric discharge through the gases could be observed only at very high pressure and high voltages.
(B)
The characteristics of Cathode rays depend upon the material of electrode.
(C)
The properties of Cathode rays do not depend upon the nature of gas present in the cathode ray tube.
(D)
Page 31
On applying high voltage across the electrodes, currents starts flowing from positive electrode to negative electrode.
Q.No. 71
A cylindrical vessel containing a liquid is closed by the smooth piston of mass m as shown in a figure. The area of cross-
section of the piston is A. If the atmosphere pressure is P0, the pressure of the liquid just below the piston is:
(A)
P0
(B)
P0+mg
(C)
P0+mg/A
(D)
mg/A
Q.No. 72
In a moving coil galvanometer, if we double the number of turns in the coil, the current sensitive doubles. The voltage
sensitivity will be-
(A)
remain unchanged
(B)
become 1/4
(C)
become 1/2
(D)
become double
Q.No. 73
2PbO + 4HNO 3 → 2 Pb(NO 3 ) + 2H 2 O
2
Which type of reaction is taking place?
(A)
Q.No. 71
A cylindrical vessel containing a liquid is closed by the smooth piston of mass m as shown in a figure. The area of cross-
section of the piston is A. If the atmosphere pressure is P0, the pressure of the liquid just below the piston is:
(A)
P0
(B)
P0+mg
(C)
P0+mg/A
(D)
mg/A
Q.No. 72
In a moving coil galvanometer, if we double the number of turns in the coil, the current sensitive doubles. The voltage
sensitivity will be-
(A)
remain unchanged
(B)
become 1/4
(C)
become 1/2
(D)
become double
Q.No. 73
2PbO + 4HNO 3 → 2 Pb(NO 3 ) + 2H 2 O
2
Which type of reaction is taking place?
(A)
Page 32
Combination reaction
(B)
Redox reaction
(C)
Acid-base reaction
(D)
Disproportion reaction
Q.No. 74
At a certain place on the earth surface the horizontal component of earth's magnetic field is 0.29G and the dip angle is
60o. What is the magnetic field of the earth at this place?
(A)
0.58G
(B)
0.58/√3G
(C)
0.29/√3G
(D)
0.29G
Q.No. 75
The coefficient of the term independent of x in the expansion of (√x+1/√x)10 is equal to
(A)
10
(B)
252
(C)
20
(D)
256
Q.No. 76
The number of moles of carbon and oxygen required to produce 6.023 * 1023 molecules of CO2
(A)
0.01 mol and 0.01mol
(B)
o.5 mol and 0.1 mol
(B)
Redox reaction
(C)
Acid-base reaction
(D)
Disproportion reaction
Q.No. 74
At a certain place on the earth surface the horizontal component of earth's magnetic field is 0.29G and the dip angle is
60o. What is the magnetic field of the earth at this place?
(A)
0.58G
(B)
0.58/√3G
(C)
0.29/√3G
(D)
0.29G
Q.No. 75
The coefficient of the term independent of x in the expansion of (√x+1/√x)10 is equal to
(A)
10
(B)
252
(C)
20
(D)
256
Q.No. 76
The number of moles of carbon and oxygen required to produce 6.023 * 1023 molecules of CO2
(A)
0.01 mol and 0.01mol
(B)
o.5 mol and 0.1 mol
Page 33
(C)
10.0 mol and 5.0 mol
(D)
1.0 mol and 1.0 mol
Q.No. 77
Consider the first 10 positive integers. If we multiply each number by -1 and then add 1 to each number, the variance of
the numbers so obtained is
(A)
8.25
(B)
6.5
(C)
3.87
(D)
2.87
Q.No. 78
Value of resistor shown below is:
(A)
8
5.2 × 10 Ω ± 10%
(B)
7
5.2 × 10 Ω ± 5%
(C)
8
52 × 10 Ω ± 10%
(D)
7
52 × 10 Ω ± 5%
10.0 mol and 5.0 mol
(D)
1.0 mol and 1.0 mol
Q.No. 77
Consider the first 10 positive integers. If we multiply each number by -1 and then add 1 to each number, the variance of
the numbers so obtained is
(A)
8.25
(B)
6.5
(C)
3.87
(D)
2.87
Q.No. 78
Value of resistor shown below is:
(A)
8
5.2 × 10 Ω ± 10%
(B)
7
5.2 × 10 Ω ± 5%
(C)
8
52 × 10 Ω ± 10%
(D)
7
52 × 10 Ω ± 5%
Page 34
Q.No. 79
An instrument called the sphygmomanometer is used for instruments for
(A)
Flow speed of fluid
(B)
Atmospheric pressure
(C)
Pressure difference
(D)
Blood pressure of humans
Q.No. 80
The line
x − 4 y − 7 z + 3
= =
−2 1 3
intersects the curve xy=c2, z=0 if c is equal to
(A)
±1
(B)
±2
(C)
±4
(D)
±√2
Q.No. 81
For a hydrogen like atom, the kinetic energy of the electron in a certain orbit is 9.4 eV. The total energy and potential
energy respectively in this case will be
(A)
18.8 eV, 9.4 eV
(B)
9.4 eV. 9.4 eV
(C)
-9.4 eV, -18.8 eV
(D)
9.4 eV, -18.8 eV
An instrument called the sphygmomanometer is used for instruments for
(A)
Flow speed of fluid
(B)
Atmospheric pressure
(C)
Pressure difference
(D)
Blood pressure of humans
Q.No. 80
The line
x − 4 y − 7 z + 3
= =
−2 1 3
intersects the curve xy=c2, z=0 if c is equal to
(A)
±1
(B)
±2
(C)
±4
(D)
±√2
Q.No. 81
For a hydrogen like atom, the kinetic energy of the electron in a certain orbit is 9.4 eV. The total energy and potential
energy respectively in this case will be
(A)
18.8 eV, 9.4 eV
(B)
9.4 eV. 9.4 eV
(C)
-9.4 eV, -18.8 eV
(D)
9.4 eV, -18.8 eV
Page 35
Q.No. 82
The IUPAC name of the following amine is:
(A)
N, N-Diethylbuty1amine
(B)
N, N-Diethyl-N-butylamine
(C)
N,N-Diethylbutan-1-amine
(D)
N,N-Diethylbutan-4-amine
Q.No. 83
6.241 g of a substance occupies 2.3cm3, The density of the substance keeping the significant figures in view will be-
(A)
2.7134
(B)
2.713
(C)
2.71
(D)
2.7
Q.No. 84
The value of sin[2 cos-1√5/3] is
(A)
√5/3
(B)
2√5/3
(C)
4√5/9
(D)
2√5/9
Q.No. 85
The IUPAC name of the following amine is:
(A)
N, N-Diethylbuty1amine
(B)
N, N-Diethyl-N-butylamine
(C)
N,N-Diethylbutan-1-amine
(D)
N,N-Diethylbutan-4-amine
Q.No. 83
6.241 g of a substance occupies 2.3cm3, The density of the substance keeping the significant figures in view will be-
(A)
2.7134
(B)
2.713
(C)
2.71
(D)
2.7
Q.No. 84
The value of sin[2 cos-1√5/3] is
(A)
√5/3
(B)
2√5/3
(C)
4√5/9
(D)
2√5/9
Q.No. 85
Page 36
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: Combustion of all organic compounds is an endothermic reaction.
Reason R: The standard enthalpy of formation of an element in reference state is taken as zero.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 86
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-IV, B-I, C-II, D-III
(B)
A-IV, B-III, C-II, D-I
(C)
A-III, B-IV, C-II, D-I
(D)
A-III, B-IV, C-I, D-II
Q.No. 87
Match List I with List II:
Assertion A: Combustion of all organic compounds is an endothermic reaction.
Reason R: The standard enthalpy of formation of an element in reference state is taken as zero.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 86
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-IV, B-I, C-II, D-III
(B)
A-IV, B-III, C-II, D-I
(C)
A-III, B-IV, C-II, D-I
(D)
A-III, B-IV, C-I, D-II
Q.No. 87
Match List I with List II:
Page 37
Choose the correct answer from the options given below:
(A)
A-II, B-I, C-III, D-IV
(B)
A-II, B-I, C-IV, D-III
(C)
A-I, B-II, C-IV, D-III
(D)
A-I, B-II, C-III, D-IV
Q.No. 88
Two strings A and B, made of same material, are streched by same tension. The radius of A is double of the radius of B, A
transverse wave travels in A with speed velocity vA and in B with speed vB. The ratio vA/vB is:
(A)
1/4
(B)
1/2
(C)
2
(D)
4
Q.No. 89
The minimum area of a triangle formed by any tangent to the ellipse x2/a2 +y2/b2 =1 with the coordinate axes is
(A)
a2 + b2 sq.units
(B)
(a+b)2/2 sq.units
(C)
(A)
A-II, B-I, C-III, D-IV
(B)
A-II, B-I, C-IV, D-III
(C)
A-I, B-II, C-IV, D-III
(D)
A-I, B-II, C-III, D-IV
Q.No. 88
Two strings A and B, made of same material, are streched by same tension. The radius of A is double of the radius of B, A
transverse wave travels in A with speed velocity vA and in B with speed vB. The ratio vA/vB is:
(A)
1/4
(B)
1/2
(C)
2
(D)
4
Q.No. 89
The minimum area of a triangle formed by any tangent to the ellipse x2/a2 +y2/b2 =1 with the coordinate axes is
(A)
a2 + b2 sq.units
(B)
(a+b)2/2 sq.units
(C)
Page 38
(a-b)2/2 sq.units
(D)
ab sq.units
Q.No. 90
Given below are two statements:
Statement I: A process or change is said to be reversible, if the change is brought out in such a way that the process
could at any time be reversed by finite change.
Statement II: A reversible process proceeds infinitely slowly by a series of equilibrium states such that system and the
surrounding are always in near equilibrium with each other.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 91
An element of length △x=1 cm is placed at the origin and carrier current I=4A as shown in the figure. The magnitude of the magnetic field on the
y-axis at a distance of 0.5 m is,
−7 ′
(μ 0 /4π = 10 T m A)
(A)
1.6 * 10-7 T
(B)
1.6 * 10-8 T
(D)
ab sq.units
Q.No. 90
Given below are two statements:
Statement I: A process or change is said to be reversible, if the change is brought out in such a way that the process
could at any time be reversed by finite change.
Statement II: A reversible process proceeds infinitely slowly by a series of equilibrium states such that system and the
surrounding are always in near equilibrium with each other.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 91
An element of length △x=1 cm is placed at the origin and carrier current I=4A as shown in the figure. The magnitude of the magnetic field on the
y-axis at a distance of 0.5 m is,
−7 ′
(μ 0 /4π = 10 T m A)
(A)
1.6 * 10-7 T
(B)
1.6 * 10-8 T
Page 39
(C)
1.6 * 10-9 T
(D)
0
Q.No. 92
If the temperature of a uniform rod is slightly increased by Δt, it moment of inertia / about a perpendicular bisector will increases by,
(L=length of rod,
α
=coefficient of linear expansion)
(A)
Zero
(B)
αLΔt
(C)
2αLΔt
(D)
3αLΔt
Q.No. 93
Which of the following show graphically correct variation of gravitational potential with distance r from the centre of the
uniform thin spherical shell? (R=Radius of shell)
(A)
(B)
1.6 * 10-9 T
(D)
0
Q.No. 92
If the temperature of a uniform rod is slightly increased by Δt, it moment of inertia / about a perpendicular bisector will increases by,
(L=length of rod,
α
=coefficient of linear expansion)
(A)
Zero
(B)
αLΔt
(C)
2αLΔt
(D)
3αLΔt
Q.No. 93
Which of the following show graphically correct variation of gravitational potential with distance r from the centre of the
uniform thin spherical shell? (R=Radius of shell)
(A)
(B)
Page 40
(C)
(D)
Q.No. 94
Arrange 1st ionization enthalpy of group 13 elements in the increasing order:
(TI, In, Ga, Al)
(A)
TI<In<Ga<Al
(B)
In<Ga<Al<TI
(C)
In<Al<Ga<TI
(D)
TI<In<Al<Ga
Q.No. 95
(D)
Q.No. 94
Arrange 1st ionization enthalpy of group 13 elements in the increasing order:
(TI, In, Ga, Al)
(A)
TI<In<Ga<Al
(B)
In<Ga<Al<TI
(C)
In<Al<Ga<TI
(D)
TI<In<Al<Ga
Q.No. 95
Page 41
The differential equations of all conics whose axes coincide with the coordinate axes is
(A)
2 2
d y dy dy
xy + x( ) + y = 0
2
dx dx dx
(B)
2 2
d y dy dy
xy + x( ) + x = 0
2
dx dx dx
(C)
2
2
d y dy dy
xy + x( ) − y = 0
2
dx dx dx
(D)
2 2
d y dy dy
xy − x( ) + y = 0
dx 2 dx dx
Q.No. 96
Given below are two statements:
Statement I: Expansion of a gas against external pressure is called free expansion.
Statement II: No work is done during the expansion of an ideal gas when the process is reversible only.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 97
Which of the following polymers is not an example of chain growth polymerization?
(A)
Polythene
(B)
Bakelite
(A)
2 2
d y dy dy
xy + x( ) + y = 0
2
dx dx dx
(B)
2 2
d y dy dy
xy + x( ) + x = 0
2
dx dx dx
(C)
2
2
d y dy dy
xy + x( ) − y = 0
2
dx dx dx
(D)
2 2
d y dy dy
xy − x( ) + y = 0
dx 2 dx dx
Q.No. 96
Given below are two statements:
Statement I: Expansion of a gas against external pressure is called free expansion.
Statement II: No work is done during the expansion of an ideal gas when the process is reversible only.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 97
Which of the following polymers is not an example of chain growth polymerization?
(A)
Polythene
(B)
Bakelite
Page 42
(C)
Teflon
(D)
Polyacrylonitrile
Q.No. 98
What will be reading of the Voltmeter in the circuit shown below? Resistance of the voltmeter is 600 Ω.
(A)
60 V
(B)
75 V
(C)
50 V
(D)
40 V
Q.No. 99
Consider the following amines:
The basic strength of these amines in increasing order is:
(A)
C<D<A<B
(B)
D<B<C<A
(C)
Teflon
(D)
Polyacrylonitrile
Q.No. 98
What will be reading of the Voltmeter in the circuit shown below? Resistance of the voltmeter is 600 Ω.
(A)
60 V
(B)
75 V
(C)
50 V
(D)
40 V
Q.No. 99
Consider the following amines:
The basic strength of these amines in increasing order is:
(A)
C<D<A<B
(B)
D<B<C<A
(C)
Page 43
C<D<B<A
(D)
D<C<B<A
Q.No. 100
In the given reaction (equation is not balanced), 'X' is:
FeS 2 ( s) + O 2 ( g) ⟶ X(s) + SO 2 ( g)
(A)
FeO
(B)
Fe2O3
(C)
Fe3O4
(D)
Fe
Q.No. 101
Two vectors
→
A
and
→
B
are inclined such a way that the magnitude of their cross product is equal to √ 3 times their dot product. The angle
between them is
(A)
30 degree
(B)
45 degree
(C)
60 degree
(D)
Zero
Q.No. 102
Given f(x)=sin4x+cos4x: 0 ≤ x ≤ π/2, which of the following statements are true?
A: Local minimum value of f(x) is 1/2
B: f(x) is increasing on[π/4, π/2]
(D)
D<C<B<A
Q.No. 100
In the given reaction (equation is not balanced), 'X' is:
FeS 2 ( s) + O 2 ( g) ⟶ X(s) + SO 2 ( g)
(A)
FeO
(B)
Fe2O3
(C)
Fe3O4
(D)
Fe
Q.No. 101
Two vectors
→
A
and
→
B
are inclined such a way that the magnitude of their cross product is equal to √ 3 times their dot product. The angle
between them is
(A)
30 degree
(B)
45 degree
(C)
60 degree
(D)
Zero
Q.No. 102
Given f(x)=sin4x+cos4x: 0 ≤ x ≤ π/2, which of the following statements are true?
A: Local minimum value of f(x) is 1/2
B: f(x) is increasing on[π/4, π/2]
Page 44
C.
π/2
′
∫ f (x)dx = 1
0
D. Period of f(x) is π /4
Choose the correct answer from the options given below:
(A)
A and B only
(B)
A and D only
(C)
B and D only
(D)
A. B and D only
Q.No. 103
Given below are two statements:
Statement I: Dissociation is the process of separation of ions in water already existing as such in the solid
state of the solute like NaCl.
Statement II: Ionization corresponds to a process in which a neutral molecules splits into charged ions in the
solution.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 104
An alternating current having peak value of 14 A used to heat a metal wire. To produce heating effect, a constant current i
can be used where i is
(A)
14 A
(B)
about 20 A
π/2
′
∫ f (x)dx = 1
0
D. Period of f(x) is π /4
Choose the correct answer from the options given below:
(A)
A and B only
(B)
A and D only
(C)
B and D only
(D)
A. B and D only
Q.No. 103
Given below are two statements:
Statement I: Dissociation is the process of separation of ions in water already existing as such in the solid
state of the solute like NaCl.
Statement II: Ionization corresponds to a process in which a neutral molecules splits into charged ions in the
solution.
Choose the correct answer from the options given below:
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is true but Statement II is false
(D)
Statement I is false but Statement II is true
Q.No. 104
An alternating current having peak value of 14 A used to heat a metal wire. To produce heating effect, a constant current i
can be used where i is
(A)
14 A
(B)
about 20 A
Page 45
(C)
7A
(D)
about 10 A
Q.No. 105
In which of the following decays, the element does not change?
(A)
α - decay
(B)
β+ - decay
(C)
β- - decay
(D)
γ - decay
Q.No. 106
Two charges +10μC and +20μC are placed at a distance of 2 cm. The electric potential due to the charges at the mid point of the line joining the
two charges will be,
9 2
(1/4πE 0 = 9310 N m /c)
(A)
0
(B)
9MV
(C)
18MV
(D)
27MV
Q.No. 107
For the function f(x)=Inx/x, which of the following statement are true?
A: f(x) has horizontal tangent at x=e
B: f(x) cuts the x-axis only at one point
C: f(x) is many one function
D: f(x) has one vertical tangent
Choose the correct answer from the options given below:
(A)
A, B and C only
7A
(D)
about 10 A
Q.No. 105
In which of the following decays, the element does not change?
(A)
α - decay
(B)
β+ - decay
(C)
β- - decay
(D)
γ - decay
Q.No. 106
Two charges +10μC and +20μC are placed at a distance of 2 cm. The electric potential due to the charges at the mid point of the line joining the
two charges will be,
9 2
(1/4πE 0 = 9310 N m /c)
(A)
0
(B)
9MV
(C)
18MV
(D)
27MV
Q.No. 107
For the function f(x)=Inx/x, which of the following statement are true?
A: f(x) has horizontal tangent at x=e
B: f(x) cuts the x-axis only at one point
C: f(x) is many one function
D: f(x) has one vertical tangent
Choose the correct answer from the options given below:
(A)
A, B and C only
Page 46
(B)
A and B only
(C)
B and C only
(D)
A, C and D only
Q.No. 108
Choose the correct order of the packing efficiency for the simple cubic lattice, bcc, ccp and hcp.
(A)
hcp>ccp>bcc>Simple cubic lattice
(B)
hcp<ccp<bcc<Simple cubic lattice
(C)
hcp=ccp<bcc<Simple cubic lattice
(D)
hcp=ccp>bcc>Simple cubic lattice
Q.No. 109
Which of the following expressions is correct for the molar conductivity of strong electrolytes?
(A)
0 1/2
Λ m = Λ m − A(c)
(B)
0 1/2
Λ m = Λ m − A(c)
(C)
0 1/2
Λ m = Λ m − A(c)
(D)
0 1/2
Λ m = Λ m − A(c)
Q.No. 110
Which of the following compounds dose not react with sodium metal?
(A)
Ethyne
A and B only
(C)
B and C only
(D)
A, C and D only
Q.No. 108
Choose the correct order of the packing efficiency for the simple cubic lattice, bcc, ccp and hcp.
(A)
hcp>ccp>bcc>Simple cubic lattice
(B)
hcp<ccp<bcc<Simple cubic lattice
(C)
hcp=ccp<bcc<Simple cubic lattice
(D)
hcp=ccp>bcc>Simple cubic lattice
Q.No. 109
Which of the following expressions is correct for the molar conductivity of strong electrolytes?
(A)
0 1/2
Λ m = Λ m − A(c)
(B)
0 1/2
Λ m = Λ m − A(c)
(C)
0 1/2
Λ m = Λ m − A(c)
(D)
0 1/2
Λ m = Λ m − A(c)
Q.No. 110
Which of the following compounds dose not react with sodium metal?
(A)
Ethyne
Page 47
(B)
1-Pentyne
(C)
2-Pentyne
(D) 1-Propyne
Q.No. 111
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The circle
2 2
x + y = 4
is an auxiliary circle of ellipse
2 2
x y
+ = 1
4 b2
where b<2
Reason R: A given circle is an auxiliary circle of exactly one ellipse.
In light of the above statements, choose the most appropriate answer from the options given below :
(A)
Both A and R are correct and R is the correct explanation of A
(B)
Both A and R are correct but R is Not the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 112
A person is moving upward in a balloon with a constant velocity 20 m/s. When the balloon is at a height of 25 m from the
ground, the person drops a stone. The stone will hit the ground after the time
(A)
2s
(B)
3s
(C)
5s
(D)
7s
Q.No. 113
1-Pentyne
(C)
2-Pentyne
(D) 1-Propyne
Q.No. 111
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The circle
2 2
x + y = 4
is an auxiliary circle of ellipse
2 2
x y
+ = 1
4 b2
where b<2
Reason R: A given circle is an auxiliary circle of exactly one ellipse.
In light of the above statements, choose the most appropriate answer from the options given below :
(A)
Both A and R are correct and R is the correct explanation of A
(B)
Both A and R are correct but R is Not the correct explanation of A
(C)
A is correct but R is not correct
(D)
A is not correct but R is correct
Q.No. 112
A person is moving upward in a balloon with a constant velocity 20 m/s. When the balloon is at a height of 25 m from the
ground, the person drops a stone. The stone will hit the ground after the time
(A)
2s
(B)
3s
(C)
5s
(D)
7s
Q.No. 113
Page 48
Arrange the following compounds in increasing order of acidity:
(A)
D<C<A<B
(B)
C<D<A<B
(C)
D<A<B<C
(D)
A<D<B<C
Q.No. 114
The integral
π/2
∫ | Sin x − Cos x|dx
0
is equal to
(A)
2√2
(B)
2(√2-1)
(C)
2(√2+1)
(D)
√2+1
Q.No. 115
For the general reaction, A + 2B -----> C + D
Which is the following statement is correct?
(A)
Rate of disappearance of A=Rate of disappearance of B
(B)
Rate of disappearance of A=1/2Rate of disappearance of C
(C)
(A)
D<C<A<B
(B)
C<D<A<B
(C)
D<A<B<C
(D)
A<D<B<C
Q.No. 114
The integral
π/2
∫ | Sin x − Cos x|dx
0
is equal to
(A)
2√2
(B)
2(√2-1)
(C)
2(√2+1)
(D)
√2+1
Q.No. 115
For the general reaction, A + 2B -----> C + D
Which is the following statement is correct?
(A)
Rate of disappearance of A=Rate of disappearance of B
(B)
Rate of disappearance of A=1/2Rate of disappearance of C
(C)
Page 49
Rate of disappearance of A=1/2Rate of disappearance of B
(D)
Rate of disappearance of A=1/2Rate of disappearance of D
Q.No. 116
4p and 5d orbitals have X and Y angular nods, respectively. X and Y are respectively,
(A)
0 and 1
(B)
1 and 2
(C)
2 and 3
(D)
3 and 4
Q.No. 117
When two equal forces are inclined at an angle of 2α, their resultant is twice as greater as when they act at an angle 2β,
the ratio |cosα/cosβ| is equal to
(A)
2
(B)
√3
(C)
1/2
(D)
1
√3
Q.No. 118
Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circles in equal
time, the ratio of their angular speed w1/w2 will be:
(A)
m1/m2
(B)
r1/r2
(C)
(D)
Rate of disappearance of A=1/2Rate of disappearance of D
Q.No. 116
4p and 5d orbitals have X and Y angular nods, respectively. X and Y are respectively,
(A)
0 and 1
(B)
1 and 2
(C)
2 and 3
(D)
3 and 4
Q.No. 117
When two equal forces are inclined at an angle of 2α, their resultant is twice as greater as when they act at an angle 2β,
the ratio |cosα/cosβ| is equal to
(A)
2
(B)
√3
(C)
1/2
(D)
1
√3
Q.No. 118
Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circles in equal
time, the ratio of their angular speed w1/w2 will be:
(A)
m1/m2
(B)
r1/r2
(C)
Page 50
m1r1/m2r2
(D)
1
Q.No. 119
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-II, B-I, C-IV, D-III
(B)
A-II, B-IV, C-III, D-I
(C)
A-IV, B-I, C-II, D-III
(D)
A-Iv, B-III, C-II, D-I
Q.No. 120
If y = (1+x)(1+x2(1+x4)..........(1+x2n); then the value of dy/dx at x=0 is
(A)
0
(B)
-1
(C)
1
(D)
2
Q.No. 121
The least velocity with which a cricket ball may be thrown 80m horizontally is
(A)
(D)
1
Q.No. 119
Match List I with List II:
Choose the correct answer from the options given below:
(A)
A-II, B-I, C-IV, D-III
(B)
A-II, B-IV, C-III, D-I
(C)
A-IV, B-I, C-II, D-III
(D)
A-Iv, B-III, C-II, D-I
Q.No. 120
If y = (1+x)(1+x2(1+x4)..........(1+x2n); then the value of dy/dx at x=0 is
(A)
0
(B)
-1
(C)
1
(D)
2
Q.No. 121
The least velocity with which a cricket ball may be thrown 80m horizontally is
(A)
Page 51
28 m/s
(B)
35 m/s
(C)
9.8 m/s
(D)
71 m/s
Q.No. 122
As the mass number A increases, which of the following quantities related to the nucleus do not change?
(A)
mass
(B)
volume
(C)
density
(D)
binding energy
Q.No. 123
Arrange the following in the descending order of covalent bond length:
C-C, C-N, C-H, O-H
(A)
C-C > C-N > C-H > O-H
(B)
C-C > C-H > C-N > O-H
(C)
O-H > C-H > C-C > C-N
(D)
C-N > C-C > O-H > C-H
Q.No. 124
The solution of dy/dx+2ytanx=sinx, is
(A)
y sec3x=sec2x+c
(B)
y sec2x=secx+c
(B)
35 m/s
(C)
9.8 m/s
(D)
71 m/s
Q.No. 122
As the mass number A increases, which of the following quantities related to the nucleus do not change?
(A)
mass
(B)
volume
(C)
density
(D)
binding energy
Q.No. 123
Arrange the following in the descending order of covalent bond length:
C-C, C-N, C-H, O-H
(A)
C-C > C-N > C-H > O-H
(B)
C-C > C-H > C-N > O-H
(C)
O-H > C-H > C-C > C-N
(D)
C-N > C-C > O-H > C-H
Q.No. 124
The solution of dy/dx+2ytanx=sinx, is
(A)
y sec3x=sec2x+c
(B)
y sec2x=secx+c
Page 52
(C)
y sinx=tanx+c
(D)
y sinx=sec3x+c
Q.No. 125
If
p → (∼ pv ∼ q)
is false, then the truth value of p and q are respectively,
(A)
T ,F
(B)
F,F
(C)
F,T
(D)
T,T
Q.No. 126
Given
x − 1; x ≤ 1
f (x) = {
3
x − 1; x > 1
, then at x=1, f is
(A)
Continuous and differentiable
(B)
Continuous and not differentiable
(C)
Differentiable but not continuous
(D)
Neither continuous nor differentiable
Q.No. 127
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: α-D-glucose is a dextrorotatory compound.
Reason R: The notation 'D' in α-D-Glucose represents its dextrorotatory nature.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
y sinx=tanx+c
(D)
y sinx=sec3x+c
Q.No. 125
If
p → (∼ pv ∼ q)
is false, then the truth value of p and q are respectively,
(A)
T ,F
(B)
F,F
(C)
F,T
(D)
T,T
Q.No. 126
Given
x − 1; x ≤ 1
f (x) = {
3
x − 1; x > 1
, then at x=1, f is
(A)
Continuous and differentiable
(B)
Continuous and not differentiable
(C)
Differentiable but not continuous
(D)
Neither continuous nor differentiable
Q.No. 127
Given below two statements, One is labelled as Assertion A and the other labelled as Reason R:
Assertion A: α-D-glucose is a dextrorotatory compound.
Reason R: The notation 'D' in α-D-Glucose represents its dextrorotatory nature.
In light of the above statements, Choose the most appropriate answer from the options given below:
(A)
Page 53
(D)
A is not correct but R is correct
Q.No. 128
If
, then
is equal to
(A)
1/4
(B)
1/2
(C)
0
(D)
-1/4
Q.No. 129
Δ(x) =
∣
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
1
cos x
1 − cos x
∫
0
π
4
1 + sin x
cos x
1 + sin x − cos x
Δ(x) ⋅ dx
sin x
sin x
1
A wire can sustain the weight of 20 kg before breaking. If the wire is cut into two equal pieces, each part can sustain a
weight of-
(A)
10 kg
(B)
20 kg
(C)
40 kg
(D)
80 kg
Q.No. 130
A is not correct but R is correct
Q.No. 128
If
, then
is equal to
(A)
1/4
(B)
1/2
(C)
0
(D)
-1/4
Q.No. 129
Δ(x) =
∣
Both A and R are correct but R is the correct explanation of A
(B)
Both A and R are correct but R is NOT the correct explanation of A
(C)
A is correct but R is not correct
1
cos x
1 − cos x
∫
0
π
4
1 + sin x
cos x
1 + sin x − cos x
Δ(x) ⋅ dx
sin x
sin x
1
A wire can sustain the weight of 20 kg before breaking. If the wire is cut into two equal pieces, each part can sustain a
weight of-
(A)
10 kg
(B)
20 kg
(C)
40 kg
(D)
80 kg
Q.No. 130
Page 54
Which of the following statements are correct?
A. If
→
a
and
→b
are two vectors such that
→ →
|a + b| = |a| →
, then
→ →
2a + b is perpendicular to
→b
B. For any three vectors
→ →
a, b
and
→
c
if
→ →
|a| = 1, |b| = 4, |c| = 2 →
and
→
→ →
a + b + c = 0 →
, then
→ → → → 7
a ⋅ b + b ⋅ c + c ⋅ a = − → →
2
C. The area of a parallelogram having diagonals
^
ı − 3^ ^
ȷ + 4k
and
5√ 3
^
3^
ı −^
ȷ + 2k is
2
square units D. If
→ → →
a, b, c
are three vectors such that then
→
→ → → →→ →
a ⋅ b = a ⋅ c, a × b = a × c, a ≠ 0 → →→
then
→b = c→
Choose the correct answer from the options given below:
(A)
A. If
→
a
and
→b
are two vectors such that
→ →
|a + b| = |a| →
, then
→ →
2a + b is perpendicular to
→b
B. For any three vectors
→ →
a, b
and
→
c
if
→ →
|a| = 1, |b| = 4, |c| = 2 →
and
→
→ →
a + b + c = 0 →
, then
→ → → → 7
a ⋅ b + b ⋅ c + c ⋅ a = − → →
2
C. The area of a parallelogram having diagonals
^
ı − 3^ ^
ȷ + 4k
and
5√ 3
^
3^
ı −^
ȷ + 2k is
2
square units D. If
→ → →
a, b, c
are three vectors such that then
→
→ → → →→ →
a ⋅ b = a ⋅ c, a × b = a × c, a ≠ 0 → →→
then
→b = c→
Choose the correct answer from the options given below:
(A)
Page 55
A, B and D only
(B)
A and D only
(C)
B and D only
(D)
A only
Q.No. 131
For a zero order reaction, the rate constant is
[R] 0 − [R]
K =
t
Which of the following is correct graph for it?
(A)
(B)
(C)
(B)
A and D only
(C)
B and D only
(D)
A only
Q.No. 131
For a zero order reaction, the rate constant is
[R] 0 − [R]
K =
t
Which of the following is correct graph for it?
(A)
(B)
(C)
Page 56
(D)
Q.No. 132
The ac voltage across the resistance can be measured using-
(A)
A potentiometer
(B)
Moving coil galvanometer
(C)
A hot wire voltmeter
(D)
A moving magnet galvanometer
Q.No. 133
A small source of sound moves on a circle as shown in figure and observer is setting at O. Let vA, vB and vC be the
frequencies heard when the source is at A, B and C respectively. We can then say:
Q.No. 132
The ac voltage across the resistance can be measured using-
(A)
A potentiometer
(B)
Moving coil galvanometer
(C)
A hot wire voltmeter
(D)
A moving magnet galvanometer
Q.No. 133
A small source of sound moves on a circle as shown in figure and observer is setting at O. Let vA, vB and vC be the
frequencies heard when the source is at A, B and C respectively. We can then say:
Page 57
(A)
vA > vB > vC
(B)
vA = vB > vC
(C) vB > vC > vA
(D)
vA > vC > vB
Q.No. 134
The molar conductance of acidic acid is 40 S cm2mol-1. If the dissolution constant is 1 *10-5molL-1, then the
concentration of acidic acid is
2 1 2 2
(Λ 0 = 90 S cm /mol , Λ Nacl = 120 S cm/mol
Na c
, and
0 2
Λ HCl = 430Scm mol)
(A)
−4 −1
9 × 10 mol L
(B)
−3 −1
9 × 10 mol L
(C)
2 −1
400Scm mol
(D)
2 −1
40Scm mol
Q.No. 135
Identify the anomeric carbon in the given structure of α-D-glucopyranose.
(A)
vA > vB > vC
(B)
vA = vB > vC
(C) vB > vC > vA
(D)
vA > vC > vB
Q.No. 134
The molar conductance of acidic acid is 40 S cm2mol-1. If the dissolution constant is 1 *10-5molL-1, then the
concentration of acidic acid is
2 1 2 2
(Λ 0 = 90 S cm /mol , Λ Nacl = 120 S cm/mol
Na c
, and
0 2
Λ HCl = 430Scm mol)
(A)
−4 −1
9 × 10 mol L
(B)
−3 −1
9 × 10 mol L
(C)
2 −1
400Scm mol
(D)
2 −1
40Scm mol
Q.No. 135
Identify the anomeric carbon in the given structure of α-D-glucopyranose.
(A)
Page 58
C1
(B)
C2 and C3
(C)
C4 and C5
(D)
C6
Q.No. 136
We have a holly cylindrical conductor of length 3.0 m and inner and outer radii 1.0 cm and 2.0 cm respectively. Its
resistance is, (resistivity of the material is π*10-8Ωm)
(A)
10-2Ω
(B)
10-3Ω
(C)
10-4Ω
(D)
10-5Ω
Q.No. 137
A function
f : R → R
satisfies the equation f(x+y)=f(x). for all
x, y ∈ R : f (x) ≠ 0
. Suppose that the function f(x) is differentiable at x=0 and
′
f (0) = 2
. If
′
f (x) = λ
. f(x), then the value of
λ
is
(A)
1
(B)
2
(B)
C2 and C3
(C)
C4 and C5
(D)
C6
Q.No. 136
We have a holly cylindrical conductor of length 3.0 m and inner and outer radii 1.0 cm and 2.0 cm respectively. Its
resistance is, (resistivity of the material is π*10-8Ωm)
(A)
10-2Ω
(B)
10-3Ω
(C)
10-4Ω
(D)
10-5Ω
Q.No. 137
A function
f : R → R
satisfies the equation f(x+y)=f(x). for all
x, y ∈ R : f (x) ≠ 0
. Suppose that the function f(x) is differentiable at x=0 and
′
f (0) = 2
. If
′
f (x) = λ
. f(x), then the value of
λ
is
(A)
1
(B)
2
Page 59
(C)
1/2
(D)
Any real number
Q.No. 138
The expansion of the magnetic energy stored in a solenoid in terms of magnetic field B, Area A and length l of solenoid.
(A)
2
BAl/2μ 0
(B)
2
B Ai/2μ 0
(C)
2
BAl/μ 0
(D)
BAl/H 0
Q.No. 139
A mass m is rotated in a vertical circle by connecting it to a light string of length l and keeping the other end of the string
fixed. The minimum speed of the particle when the string is horizontal for which the mass will complete the circle is-
(A)
√gl
(B)
√2gl
(C)
√3gl
(D)
√5gl
Q.No. 140
A 10μF capacitor is connected to the battery of 10 V through a 100Ω resistor as shown in figure. The charge accumulated in the capacitor will be
1/2
(D)
Any real number
Q.No. 138
The expansion of the magnetic energy stored in a solenoid in terms of magnetic field B, Area A and length l of solenoid.
(A)
2
BAl/2μ 0
(B)
2
B Ai/2μ 0
(C)
2
BAl/μ 0
(D)
BAl/H 0
Q.No. 139
A mass m is rotated in a vertical circle by connecting it to a light string of length l and keeping the other end of the string
fixed. The minimum speed of the particle when the string is horizontal for which the mass will complete the circle is-
(A)
√gl
(B)
√2gl
(C)
√3gl
(D)
√5gl
Q.No. 140
A 10μF capacitor is connected to the battery of 10 V through a 100Ω resistor as shown in figure. The charge accumulated in the capacitor will be
Page 60
(A)
100μC
(B)
50μC
(C)
25μC
(D)
0
Q.No. 141
Gemstones, Ruby and Sapphire contain 'A' and 'B' respectively as impurities, 'A' and 'B' are
(A)
A=Co;B=Cr
(B)
A=Cr;B=Co
(C)
A=Co;B=Co
(D)
A=Cr;B=Cr
Q.No. 142
Match List I with List II :
100μC
(B)
50μC
(C)
25μC
(D)
0
Q.No. 141
Gemstones, Ruby and Sapphire contain 'A' and 'B' respectively as impurities, 'A' and 'B' are
(A)
A=Co;B=Cr
(B)
A=Cr;B=Co
(C)
A=Co;B=Co
(D)
A=Cr;B=Cr
Q.No. 142
Match List I with List II :
Page 61
Choose the correct answer from the options given below:
(A) A-II, B-I, C-IV, D-III
(B)
A-IV, B-I, C-II, D-III
(C)
A-III, B-I, C-II, D-IV
(D)
A-II, B-IV, C-III, D-I
Q.No. 143
The inverse of the function
x −x
10 − 10
f (x) =
x −x
10 + 10
is
(A)
( )
(A) A-II, B-I, C-IV, D-III
(B)
A-IV, B-I, C-II, D-III
(C)
A-III, B-I, C-II, D-IV
(D)
A-II, B-IV, C-III, D-I
Q.No. 143
The inverse of the function
x −x
10 − 10
f (x) =
x −x
10 + 10
is
(A)
( )
Page 62
1 + x
log 10 ( )
1 − x
(B)
1 1 + x
log 10 ( )
2 1 − x
(C)
log 10 (1 + x)
(D)
1 + x
− log 10 ( )
1 − x
Q.No. 144
Out of 7 consonants and 4 vowels, the number of words( with or without meaning)that can be made, each consisting of 3
consonants and 2 vowels is
(A)
24800
(B)
25100
(C)
25200
(D)
25400
Q.No. 145
A proton and an electron are placed in an electric field. Then we can say-
(A)
The electric force acting on them are equal
(B)
The magnitude of the forces are equal
(C)
Their acceleration are equal
(D)
The magnitude of their acceleration are equal
Q.No. 146
log 10 ( )
1 − x
(B)
1 1 + x
log 10 ( )
2 1 − x
(C)
log 10 (1 + x)
(D)
1 + x
− log 10 ( )
1 − x
Q.No. 144
Out of 7 consonants and 4 vowels, the number of words( with or without meaning)that can be made, each consisting of 3
consonants and 2 vowels is
(A)
24800
(B)
25100
(C)
25200
(D)
25400
Q.No. 145
A proton and an electron are placed in an electric field. Then we can say-
(A)
The electric force acting on them are equal
(B)
The magnitude of the forces are equal
(C)
Their acceleration are equal
(D)
The magnitude of their acceleration are equal
Q.No. 146
Page 63
In the given reaction,
A B C
2Cu 2 O(s) + Cu 2 S( s) ⟶ 6Cu(s) + SO 2 ( g)
The oxidation number of Cu are A, B and C. A, B and C are respectively
(A)
+1,+2,0
(B)
+1,+1,0
(C)
+2,+1,0
(D)
+1,+2,+1
Q.No. 147
The dimensional formula for the coefficient of viscosity is:
(A)
[M-1LT0]
(B)
[M-1L-1T-1]
(C)
[ML0T1]
(D)
[ML-1T-1]
Q.No. 148
Two resistors R and 2R are connected in parallel in an electric circuit. The thermal energy developed in R and 2R are in
the ratio :
(A)
1:4
(B)
4:1
(C)
2:1
(D)
1:1
Q.No. 149
A B C
2Cu 2 O(s) + Cu 2 S( s) ⟶ 6Cu(s) + SO 2 ( g)
The oxidation number of Cu are A, B and C. A, B and C are respectively
(A)
+1,+2,0
(B)
+1,+1,0
(C)
+2,+1,0
(D)
+1,+2,+1
Q.No. 147
The dimensional formula for the coefficient of viscosity is:
(A)
[M-1LT0]
(B)
[M-1L-1T-1]
(C)
[ML0T1]
(D)
[ML-1T-1]
Q.No. 148
Two resistors R and 2R are connected in parallel in an electric circuit. The thermal energy developed in R and 2R are in
the ratio :
(A)
1:4
(B)
4:1
(C)
2:1
(D)
1:1
Q.No. 149
Page 64
Which of the following hydrides does not passes during property?
(A)
H2O
(B)
H2S
(C)
H2Se
(D)
H2Te
Q.No. 150
Which of the following statements are correct?
A: Hydrides of group 13 acts as Lewis acids.
B: On addition of gypsum to cement, the setting time decreases.
C: Diamond is thermodynamically most stable allotrope of carbon.
D: Beryllium exhibits coordination number of more than four.
E: Beryllium is not readily attached by acids because the presence of an oxide film of the surface of the metal.
Choose the correct answer from the options given below:
(A)
A and C only
(B)
B and C only
(C)
A and E only
(D)
A and B only
Answer Sheet
Q.No Answer
Q.No. 1 (C)
Q.No. 2 (A)
Q.No. 3 (C)
Q.No. 4 (B)
Q.No. 5 (C)
Q.No. 6 (A)
Q.No. 7 (A)
(A)
H2O
(B)
H2S
(C)
H2Se
(D)
H2Te
Q.No. 150
Which of the following statements are correct?
A: Hydrides of group 13 acts as Lewis acids.
B: On addition of gypsum to cement, the setting time decreases.
C: Diamond is thermodynamically most stable allotrope of carbon.
D: Beryllium exhibits coordination number of more than four.
E: Beryllium is not readily attached by acids because the presence of an oxide film of the surface of the metal.
Choose the correct answer from the options given below:
(A)
A and C only
(B)
B and C only
(C)
A and E only
(D)
A and B only
Answer Sheet
Q.No Answer
Q.No. 1 (C)
Q.No. 2 (A)
Q.No. 3 (C)
Q.No. 4 (B)
Q.No. 5 (C)
Q.No. 6 (A)
Q.No. 7 (A)
Page 65
Q.No. 8 (B)
Q.No. 9 (A)
Q.No. 10 (D)
Q.No. 11 (B)
Q.No. 12 (C)
Q.No. 13 (B)
Q.No. 14 (B)
Q.No. 15 (B)
Q.No. 16 (A)
Q.No. 17 (B)
Q.No. 18 (A)
Q.No. 19 (C)
Q.No. 20 (D)
Q.No. 21 (B)
Q.No. 22 (D)
Q.No. 23 (B)
Q.No. 24 (A)
Q.No. 25 (A)
Q.No. 26 (A)
Q.No. 27 (A)
Q.No. 28 (A)
Q.No. 29 (D)
Q.No. 30 (B)
Q.No. 31 (B)
Q.No. 32 (B)
Q.No. 33 (B)
Q.No. 34 (A)
Q.No. 35 (C)
Q.No. 36 (C)
Q.No. 37 (C)
Q.No. 38 (C)
Q.No. 39 (A)
Q.No. 40 (B)
Q.No. 41 (A)
Q.No. 42 (A)
Q.No. 43 (A)
Q.No. 44 (D)
Q.No. 45 (D)
Q.No. 46 (A)
Q.No. 47 (D)
Q.No. 48 (B)
Q.No. 49 (C)
Q.No. 50 (A)
Q.No. 9 (A)
Q.No. 10 (D)
Q.No. 11 (B)
Q.No. 12 (C)
Q.No. 13 (B)
Q.No. 14 (B)
Q.No. 15 (B)
Q.No. 16 (A)
Q.No. 17 (B)
Q.No. 18 (A)
Q.No. 19 (C)
Q.No. 20 (D)
Q.No. 21 (B)
Q.No. 22 (D)
Q.No. 23 (B)
Q.No. 24 (A)
Q.No. 25 (A)
Q.No. 26 (A)
Q.No. 27 (A)
Q.No. 28 (A)
Q.No. 29 (D)
Q.No. 30 (B)
Q.No. 31 (B)
Q.No. 32 (B)
Q.No. 33 (B)
Q.No. 34 (A)
Q.No. 35 (C)
Q.No. 36 (C)
Q.No. 37 (C)
Q.No. 38 (C)
Q.No. 39 (A)
Q.No. 40 (B)
Q.No. 41 (A)
Q.No. 42 (A)
Q.No. 43 (A)
Q.No. 44 (D)
Q.No. 45 (D)
Q.No. 46 (A)
Q.No. 47 (D)
Q.No. 48 (B)
Q.No. 49 (C)
Q.No. 50 (A)
Page 66
Q.No. 51 (D)
Q.No. 52 (A)
Q.No. 53 (A)
Q.No. 54 (B)
Q.No. 55 (D)
Q.No. 56 (A)
Q.No. 57 (D)
Q.No. 58 (B)
Q.No. 59 (D)
Q.No. 60 (A)
Q.No. 61 (A)
Q.No. 62 (B)
Q.No. 63 (B)
Q.No. 64 (A)
Q.No. 65 (B)
Q.No. 66 (B)
Q.No. 67 (C)
Q.No. 68 (B)
Q.No. 69 (A)
Q.No. 70 (C)
Q.No. 71 (C)
Q.No. 72 (A)
Q.No. 73 (C)
Q.No. 74 (A)
Q.No. 75 (B)
Q.No. 76 (D)
Q.No. 77 (A)
Q.No. 78 (C)
Q.No. 79 (D)
Q.No. 80 (C)
Q.No. 81 (C)
Q.No. 82 (A)
Q.No. 83 (D)
Q.No. 84 (C)
Q.No. 85 (D)
Q.No. 86 (D)
Q.No. 87 (B)
Q.No. 88 (B)
Q.No. 89 (D)
Q.No. 90 (D)
Q.No. 91 (B)
Q.No. 92 (C)
Q.No. 93 (A)
Q.No. 52 (A)
Q.No. 53 (A)
Q.No. 54 (B)
Q.No. 55 (D)
Q.No. 56 (A)
Q.No. 57 (D)
Q.No. 58 (B)
Q.No. 59 (D)
Q.No. 60 (A)
Q.No. 61 (A)
Q.No. 62 (B)
Q.No. 63 (B)
Q.No. 64 (A)
Q.No. 65 (B)
Q.No. 66 (B)
Q.No. 67 (C)
Q.No. 68 (B)
Q.No. 69 (A)
Q.No. 70 (C)
Q.No. 71 (C)
Q.No. 72 (A)
Q.No. 73 (C)
Q.No. 74 (A)
Q.No. 75 (B)
Q.No. 76 (D)
Q.No. 77 (A)
Q.No. 78 (C)
Q.No. 79 (D)
Q.No. 80 (C)
Q.No. 81 (C)
Q.No. 82 (A)
Q.No. 83 (D)
Q.No. 84 (C)
Q.No. 85 (D)
Q.No. 86 (D)
Q.No. 87 (B)
Q.No. 88 (B)
Q.No. 89 (D)
Q.No. 90 (D)
Q.No. 91 (B)
Q.No. 92 (C)
Q.No. 93 (A)
Page 67
Q.No. 94 (C)
Q.No. 95 (C)
Q.No. 96 (B)
Q.No. 97 (B)
Q.No. 98 (C)
Q.No. 99 (D)
Q.No. 100 (B)
Q.No. 101 (C)
Q.No. 102 (A)
Q.No. 103 (A)
Q.No. 104 (D)
Q.No. 105 (D)
Q.No. 106 (D)
Q.No. 107 (A)
Q.No. 108 (D)
Q.No. 109 (B)
Q.No. 110 (C)
Q.No. 111 (C)
Q.No. 112 (C)
Q.No. 113 (A)
Q.No. 114 (B)
Q.No. 115 (C)
Q.No. 116 (B)
Q.No. 117 (A)
Q.No. 118 (D)
Q.No. 119 (C)
Q.No. 120 (C)
Q.No. 121 (A)
Q.No. 122 (C)
Q.No. 123 (A)
Q.No. 124 (B)
Q.No. 125 (D)
Q.No. 126 (B)
Q.No. 127 (C)
Q.No. 128 (D)
Q.No. 129 (B)
Q.No. 130 (B)
Q.No. 131 (B)
Q.No. 132 (C)
Q.No. 133 (C)
Q.No. 134 (A)
Q.No. 135 (A)
Q.No. 136 (C)
Q.No. 95 (C)
Q.No. 96 (B)
Q.No. 97 (B)
Q.No. 98 (C)
Q.No. 99 (D)
Q.No. 100 (B)
Q.No. 101 (C)
Q.No. 102 (A)
Q.No. 103 (A)
Q.No. 104 (D)
Q.No. 105 (D)
Q.No. 106 (D)
Q.No. 107 (A)
Q.No. 108 (D)
Q.No. 109 (B)
Q.No. 110 (C)
Q.No. 111 (C)
Q.No. 112 (C)
Q.No. 113 (A)
Q.No. 114 (B)
Q.No. 115 (C)
Q.No. 116 (B)
Q.No. 117 (A)
Q.No. 118 (D)
Q.No. 119 (C)
Q.No. 120 (C)
Q.No. 121 (A)
Q.No. 122 (C)
Q.No. 123 (A)
Q.No. 124 (B)
Q.No. 125 (D)
Q.No. 126 (B)
Q.No. 127 (C)
Q.No. 128 (D)
Q.No. 129 (B)
Q.No. 130 (B)
Q.No. 131 (B)
Q.No. 132 (C)
Q.No. 133 (C)
Q.No. 134 (A)
Q.No. 135 (A)
Q.No. 136 (C)
Page 68
Q.No. 137 (B)
Q.No. 138 (B)
Q.No. 139 (C)
Q.No. 140 (A)
Q.No. 141 (B)
Q.No. 142 (C)
Q.No. 143 (B)
Q.No. 144 (C)
Q.No. 145 (B)
Q.No. 146 (B)
Q.No. 147 (D)
Q.No. 148 (D)
Q.No. 149 (A)
Q.No. 150 (C)
Q.No. 138 (B)
Q.No. 139 (C)
Q.No. 140 (A)
Q.No. 141 (B)
Q.No. 142 (C)
Q.No. 143 (B)
Q.No. 144 (C)
Q.No. 145 (B)
Q.No. 146 (B)
Q.No. 147 (D)
Q.No. 148 (D)
Q.No. 149 (A)
Q.No. 150 (C)
Document Details
| Board / Org | ICAR |
| Exam | AIEEA UG |
| Type | Sample Paper |
| Pages | 68 |
| Updated | 22 Jul 2026 |